Amiya Pani

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Publications (22)

• Global well-posedness and numerical approximation of a coupled Darcy-convection-diffusion system with exponential nonlinearity
  Nonlinear Analysis: Real World Applications 2027 DOI: 10.1016/j.nonrwa.2026.104674
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• Discrete time finite element Galerkin methods for the cubic Schrödinger equation
  Computers & Mathematics with Applications 2026 DOI: 10.1016/j.camwa.2026.05.023
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• Robust Stability and Preconditioning of Darcy–Forchheimer Equations
  SIAM Journal on Numerical Analysis 2026 DOI: 10.1137/25M1816115
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• On two conservative HDG schemes for nonlinear Klein–Gordon equation
  Journal of Numerical Mathematics 2026 DOI: 10.1515/jnma-2024-0159
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• On a Completely Discrete Discontinuous Galerkin Method for Incompressible Chemotaxis-Navier-Stokes Equations
  Journal of Scientific Computing 2025 DOI: 10.1007/s10915-025-03055-0
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• Asymptotic Behavior of the Semidiscrete FE Approximations to Weakly Damped Wave Equations With Minimal Smoothness on Initial Data
  Mathematical Methods in the Applied Sciences 2025 DOI: 10.1002/mma.11088
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• Finite element approximation to the non-stationary quasi-geostrophic equation
  ESAIM: Mathematical Modelling and Numerical Analysis 2025 DOI: 10.1051/m2an/2025040
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• On a non-uniform $$\alpha $$-robust IMEX-L1 mixed FEM for time-fractional PIDEs
  Advances in Computational Mathematics 2025 DOI: 10.1007/s10444-025-10221-3
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• Discontinuous Galerkin Methods for the Vlasov–Stokes System
  Computational Methods in Applied Mathematics 2025 DOI: 10.1515/cmam-2023-0243
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• Optimal Error Estimates of the Penalty Finite Element Method for the Unsteady Navier–Stokes Equations with Nonsmooth Initial Data
  Journal of Scientific Computing 2024 DOI: 10.1007/s10915-023-02445-6
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